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A daycare facility watches the taxpayer's two (2) children for a cost of $4,500 apiece during TY2022. At the same time, the employer pays for $3,000 apiece as a dependent care benefit to the taxpayer as a working benefit. What amount of expenses is the taxpayer allowed to claim on the Form 3506 for the purposes of the credit for dependent care expenses?Select one: a. SO; The employer payments are the same as the allowable expenses and no credit is allowed. b. $9,000; The employer payments do not reduce the amount of expenses for thipurposes of calculating thecrecic. None of these answers are correct.© d. $3,000; The leftover amounts after subtracting the employer credits are used for the purposes of calculating

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Implement Circuits in Vivado Design Suite 1. Implement 8*1 MUX using 2*1 MUX only(any number) using Hierarchical design process. Also, Show the design process. Submission Requirement: 1. Create a pdf that has the design process(truth table), block diagram ( circuit diagram) and Verilog code, testbench file, screenshot of the code and Timing diagram for this problem.

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Find the integral.\\ $\int (2\sqrt[4]{x^4} - x^{-3}) dx$\\ A. $\frac{6}{7}x^{\frac{7}{3}} + \frac{1}{2x^2} + C$\\ B. $\frac{4}{3}x^{\frac{7}{3}} - 3x^{-2} + C$\\ C. $\frac{6}{7}x^{\frac{7}{3}} + \frac{1}{2x^2} + C$\\ D. $\frac{6}{7}x^{\frac{7}{3}} - 2x^{-2} + C$

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STA401M Assessment 1 APR 2022 Question 1 [30 marks] Consider the round bar assemblage depicted in Figure 1. The diameter of the bars is 50 mm and the modulus of elasticity is E = 210 GPa. Determine the nodal displacements, the forces in each element, and the reactions at element 1. Use the direct stiffness method 35 KN 25 KN 1 ? ? ? 3 0.8m 0.8m 0.8m X Figure 1: Three Bar Assemblage Question 2 [21 marks] Consider the spring assemblage depicted in Figure 2 with the spring constants $k_1$ = 400 N/mm and $k_2$ = 150 N/mm. Node 3 displaces an amount of $\delta$ = 15 mm as inindicated. Determine the displacement at node 2, the forces in each spring element, and the force $F_3$. $k_1$ 2 $k_2$ 3 $F_3$ X $\delta$ Figure 2: Spring Assemblage All the best!!!

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2. (20 points) McDonalds (m) and Burger King (b) compete in hamburger market by selling imperfect substitutes. The demand equations are: $Q_m = 230 - 2p_m + p_b$ $Q_b = 230 - 2p_b + p_m$ Assume that marginal cost and average cost is 5 for both firms. a) From the equations, how can you tell these goods are substitutes? b) Suppose the firms compete by simultaneously choosing price. Find the best response function of each firm as a function of the other firm's price. c) Compute the equilibrium price and quantity for each firm.

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QUESTION 5 Suppose that you have the following pseudo-code: 1: class MAPPER 2: method MAP(string t, integer r) 3: EMIT(string t, integer ) 1: class REDUCER 2: method REDUCE(string t, integers [r,r...]) 3: sum = 0 4: cnt = 0 5: for all integer r in integers [r1,r2,...] do 6: sum = sum + r 7: cnt = cnt + 1 8: Tavg = sum/cnt 9: EMIT(string t, integer raeg) Suppose that you will process the following input with the pseudo-code: string t: dallas austin houston dallas houston arlington dallas austin austin integer r: 3 1 6 9 5 3 8 3 Considering the pseudo-code and input given above, please answer the following questions: (A) How many times will the method MAP be called overall? (B) How many times will the method REDUCE be called overall? (C) Please list below all the outputs emitted by the REDUCE call(s). (D) If you were asked to improve the performance (in terms of network resources taken by your job) of this implementation, what changes would you make in the pseudo-code expressed above? Please elaborate/justify your answer. If you cannot see the pseudo-code above, please access: [link]

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7- Find $V_x$ using source transformation.

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Q2: The data presented in the attached figure represent the temperature of a bioreactor after an increase in the flow rate of magnitude of 5% at t = 10 min. a) Use the data to develop an empirical transfer function model (FOPTD) that can be used to design a controller to regulate the temperature. b) List two things that you should do to confirm whether or not the parameters that you have estimated for your transfer function are appropriate. c) Using Simulink, simulate your model, plot your results and the given data in the same graph and compare them.

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Part III. Applications (20 MARKS) Direction: Answer the following questions. For each answer you MUST show your work. 1. Using the following information Sales $200,000 Beginning inventory 30,000 Net purchases 10,000 Ending inventory 5% of beginning inventory Operating expenses 10,000 Find Total cost of goods available for sale, Gross profit, and Net income. (9 marks) Marking Scheme: Correct computation& final answer = 3nseres each 2. The Gucci trading company discloses the following information for the month of August 2021. Beginning Inventory: Purchases: Sales: Instructions: Aug 1 20 units @ $2 $40 Aug 8 30 units @ $3 90 Aug 9 40 units @ $4 160 Aug 12 30 units Aug 25 40 units Under a periodic inventory system, compute the cost of good sold & ending inventory cost at Aug 31 under FIFO & LIFO (Marking Scheme (FIFO): 1 Mark for each step x 6 = 6 marks) (Marking Scheme (LIFO): 1 Mark for each step x 5 = 5 marks)

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Convert signed 16-bit binary 1111 1111 0110 1100 to decimal

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stephanie r.